Either mathematics is too big for the human mind, or the human mind is more than a machine.

We cannot devise a closed set of axioms from which all the events of the external world can be deduced.

-Kurt Godel and the Incompleteness Theorem

The Sums of Squares series after Gauss' Sum series:

Starting from the trinomial (k+1)^3 or Σ n^2 we get a pattern that is = n(n+1)(2n+1)/6